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4541142544 = 241729912
BaseRepresentation
bin1000011101010110…
…00101011000010000
3102201110221221110121
410032223011120100
533300013030134
62030340240024
7220351034431
oct41653053020
912643857417
104541142544
111a203a1674
12a689a0014
13574a803c3
14311179488
151b8a18ab4
hex10eac5610

4541142544 has 45 divisors (see below), whose sum is σ = 9355905741. Its totient is φ = 2134851840.

The previous prime is 4541142533. The next prime is 4541142547. The reversal of 4541142544 is 4452411454.

The square root of 4541142544 is 67388.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3535491600 + 1005650944 = 59460^2 + 31712^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4541142547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4581889 + ... + 4582879.

Almost surely, 24541142544 is an apocalyptic number.

4541142544 is the 67388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4541142544

4541142544 is an abundant number, since it is smaller than the sum of its proper divisors (4814763197).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4541142544 is an frugal number, since it uses more digits than its factorization.

4541142544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 1010 counting only the distinct ones).

The product of its digits is 51200, while the sum is 34.

The cubic root of 4541142544 is about 1655.9798378682.

Adding to 4541142544 its reverse (4452411454), we get a palindrome (8993553998).

The spelling of 4541142544 in words is "four billion, five hundred forty-one million, one hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 991 1156 1982 2312 3964 4624 7928 15856 16847 33694 67388 134776 269552 286399 572798 982081 1145596 1964162 2291192 3928324 4582384 7856648 15713296 16695377 33390754 66781508 133563016 267126032 283821409 567642818 1135285636 2270571272 4541142544